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Finding the Third Proportional to 301,364 and 466,932

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Solution

The third proportional to 301,364 and 466,932 is: 723,462.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,364 : 466,932 = 466,932 : x
  2. Step 2: Convert to fraction form
    301,364/466,932 = 466,932/x
  3. Step 3: Cross multiply
    301,364x = 466,932 × 466,932
  4. Step 4: Simplify right side
    301,364x = 218,025,492,624
  5. Step 5: Solve for x
    x = 218,025,492,624/301,364
  6. Step 6: Final answer
    x = 723,462.30

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.